Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition

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摘要

Homotopy perturbation method is successfully extended to solve time-fractional diffusion equation with a moving boundary condition and an approximate solution is obtained. The comparison with the exact solution shows that the approximate solution is sufficiently accurate for practical application in most cases.

论文关键词:Homotopy perturbation method,Fractional diffusion equation,Moving boundary,Special nonlinear problem,Analytical approximate solutions,Taloy’s series

论文评审过程:Available online 16 December 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.12.023